Question

When I was little, I used to play a game with my friends. One of us would lie down in a blanket and

get wrapped up like a big dumpling, then spun around and dragged some random direction. Then, we
stopped somewhere and the person inside had to guess where they were. Sometimes I would just
use how far I think I've traveled, because I didn't know the direction, and the fact that my house
wasn't very big, to guess right.
If I feel myself dragged 5 feet forward, 9 feet left, then 6 feet forward again, and 2 feet back to the
right.

Answer 1

To determine your final position after the given movements, you need to combine the distances traveled and directions. Starting with 5 feet forward, then moving 9 feet left, 6 feet forward, and finally 2 feet right, your final position is 11 feet forward and -7 feet to the left.

Based on the given information, you started with 5 feet forward, then moved 9 feet to the left, then 6 feet forward again, and finally 2 feet back to the right. To determine your final position, you will need to combine these movements.

Starting with 5 feet forward, your position is now 5 feet forward.

Next, you moved 9 feet to the left. Since this is a leftward movement, it is considered a negative value. So, you would subtract 9 feet from your current position of 5 feet forward, resulting in a position of 5 feet forward and -9 feet to the left.

Then, you moved 6 feet forward again. Adding this movement to your current position of 5 feet forward and -9 feet to the left, you would have a position of 11 feet forward and -9 feet to the left.

Finally, you moved 2 feet back to the right. Since this is a rightward movement, it is considered a positive value. So, you would add 2 feet to your current position of 11 feet forward and -9 feet to the left, resulting in a final position of 11 feet forward and -7 feet to the left.

Therefore, based on the given movements, your final position is 11 feet forward and -7 feet to the left.